The area of a rectangular sheet of cardboard is 84 Whole 3/8 sq.m, and it's length is 20whole 1/3m.4 such sheets of cardboard are joined together along the length.what is the width of new arrangement?

To find the width of the new arrangement, we first need to find the width of one sheet of cardboard.

Area of one sheet of cardboard = 84 3/8 sq.m
Length of one sheet of cardboard = 20 1/3 m

Let the width of one sheet of cardboard be x meters.

Area of one sheet of cardboard = Length x Width
84 3/8 = (20 1/3) x
339/8 = 61/3 x
339/8 = 183/3 x
x = (339/8) / (183/3)
x = (339/8) * (3/183)
x = 1017/1464
x = 0.694 m

Now, when 4 sheets of cardboard are joined together along the length, the length remains the same but the width is multiplied by 4.

Width of new arrangement = 0.694 * 4
Width of new arrangement = 2.776 m

Therefore, the width of the new arrangement is 2.776 meters.

Step 1: Convert the mixed fractions to decimals.

- 84 3/8 = 84 + 3/8 = 84 + 0.375 = 84.375 sq.m
- 20 1/3 = 20 + 1/3 = 20 + 0.333 = 20.333 m

Step 2: Calculate the width of one sheet.

- Area = Length x Width
- 84.375 = 20.333 x Width
- Width = 84.375 / 20.333 = 4.15 m

Step 3: Calculate the total length of 4 sheets.

- Total Length = 4 x Length of one sheet
- Total Length = 4 x 20.333 m = 81.332 m

Step 4: Calculate the new width.

- New Area = Total Length x New Width
- New Area = 81.332 m x New Width
- New Width = New Area / Total Length
- New Width = 84.375 sq.m / 81.332 m = 3.63 m

Therefore, the width of the new arrangement when 4 sheets are joined together along the length is 3.63 m.